document.write( "Question 338228: 1. if it takes john 900 seconds to run 1 mile then he is running at a rate of 4 mph.
\n" );
document.write( "show work
\n" );
document.write( "2. Three consecutive odd counting numbers have the property that the sum of the largest and twice the smallest is 64. what is the middle number. \n" );
document.write( "
Algebra.Com's Answer #243920 by Edwin McCravy(20062) You can put this solution on YOUR website! 1. if it takes john 900 seconds to run 1 mile then he is running at a rate of 4 mph. \n" ); document.write( "show work \n" ); document.write( " \r\n" ); document.write( " \n" ); document.write( "2. Three consecutive odd counting numbers have the property that the sum of the largest and twice the smallest is 64. what is the middle number. \n" ); document.write( " \r\n" ); document.write( "Smallest of the three consecutive odd integers = n\r\n" ); document.write( "Middle of the three consecutive odd integers = (n+2)\r\n" ); document.write( "Largest of the three consecutive odd integers = (n+4)\r\n" ); document.write( "\r\n" ); document.write( "largest + 2*smallest = 64\r\n" ); document.write( "\r\n" ); document.write( " (n+4) + 2*n = 64\r\n" ); document.write( "\r\n" ); document.write( " n + 4 + 2n = 64\r\n" ); document.write( "\r\n" ); document.write( " 3n + 4 = 64\r\n" ); document.write( "\r\n" ); document.write( " 3n = 60\r\n" ); document.write( "\r\n" ); document.write( " n = 20\r\n" ); document.write( "\r\n" ); document.write( "But 20 is even, not odd. If the problem had asked for three consecutive\r\n" ); document.write( "even counting numbers, they would be\r\n" ); document.write( "\r\n" ); document.write( "Smallest = n = 20\r\n" ); document.write( "Middle = (n+2) = 20+2 = 22\r\n" ); document.write( "Largest = (n+4) = 20+4 = 24\r\n" ); document.write( "\r\n" ); document.write( "The largest, 24 plus twice the smallest, 2*20 or 40, is 64, since 24+40 = 64.\r\n" ); document.write( "But they're even, not odd.\r\n" ); document.write( "\r\n" ); document.write( "Thus, there is no solution, since they must be odd. Only such even\r\n" ); document.write( "consecutive counting numbers exist, but no odd ones. \r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |